Abstract
We consider an initial boundary value problem for the system of the Maxwell equations in a bounded domain with smooth boundary on a finite time interval with new boundary conditions with memory. In appropriate function spaces, we define and study the nonselfadjoint operator that is generated by the Maxwell operator under a boundary condition with memory. Using the operator method, we prove an existence and uniqueness theorem for a solution to the initial boundary value problem.
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Original Russian Text Copyright © 2014 Urev M.V.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 3, pp. 672–689, May–June, 2014.
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Urev, M.V. On the Maxwell system under impedance boundary conditions with memory. Sib Math J 55, 548–563 (2014). https://doi.org/10.1134/S0037446614030161
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DOI: https://doi.org/10.1134/S0037446614030161